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A Window into Zeta and Modular Physics

), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms;

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Window Into Zeta And Modular Physics

), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms;

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Automorphic Forms And Zeta Functions - Proceedings Of The Conference In Memory Of Tsuneo Arakawa

of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions. The book begins with a review of his works;

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Introduction to Arithmetic Theory of Automorphic Functions

associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed;

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Algebraic And Analytic Aspects Of Zeta Functions And L-functions

multiple zeta-functions, classes of Euler products of zeta-functions, and L-functions associated with modular forms. This volume should be helpful;

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Number Theory With Applications to Cryptography

Congruences and their use in mock theta functions, Method of Iterative Sliding Window for Shorter Number of Operations in case of Modular;

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Contributions To The Theory Of Zeta-functions

-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular;

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Number Theory 3

Mathematics, as volumes 186 and 240.) The two main topics of this book are Iwasawa theory and modular forms. The presentation of the theory of modular;

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Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval

Consider a space $M$, a map $f:Mto M$, and a function $g:M to {Bbb C $. The formal power series $zeta(z) = exp sum infty_{m=1 frac{z {m;

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In Pursuit of Zeta-3

world over have tried, and failed, to solve the zeta-3 problem. Math genius Leonhard Euler attempted it in the 1700s and came up short. The;

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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory;

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Cosmology, Quantum Vacuum and Zeta Functions

. They include renormalization problems in QFT, vacuum energy fluctuations and the Casimir effect in different configurations, and a wealth;

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Abelian Varieties with Complex Multiplication and Modular Functions

modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth;

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Vistas Of Special Functions Ii

equations of associated zeta-functions. In Vista II, which maintains the spirit of the theory of special functions through zeta-functions, the;

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Cambridge Tracts in Mathematics

provides a concise account of the theory of modular invariants as embodied in the work of Dickson, Glenn and Hazlett. Appendices are included. This;

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Zeta and $L$-functions in Number Theory and Combinatorics

Zeta and $L$-functions play a central role in number theory. They provide important information of arithmetic nature. This book, which grew;

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Harmonic Maass Forms and Mock Modular Forms

Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10-15 years, this theory has been extended;

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Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms

environment: in the latter one, the problem of decomposing automorphic functions in according to the spectral decomposition of the modular Laplacian;

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Topics In Number Theory

This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the;

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Special Functions in Physics with MATLAB

This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with;

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Experimental Number Theory

theory, elliptic units, modular forms, along with exercises and selected solutions. Sample programs are written in GP, the scripting language;

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Elliptic Curves. (MN-40), Volume 40

analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular;

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Physics A2

The second edition of the highly-successful Collins Advanced Modular Sciences series has been updated to match the latest specifications;

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The Hurwitz and the Lerch Zeta-Functions in the Second Variable

The Hurwitz and the Lerch Zeta- Functions in the Second Variable, which is based on author's own research work, mainly deals with the study;

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History, Heritage and Timeless Service 1955-2013

of innumerable hours of service to the community. Within this book you will learn about Zeta Omicron Omega Chapter through international and chapter;

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Vistas Of Special Functions

: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zeta-functions (the Hurwitz, the Lerch, and the Epstein zeta;

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Spectral Theory of the Riemann Zeta-function

woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function itself. The story starts;

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